We note that a mathematically identical, but conceptually different model assumes that some fraction of the leaf water has not reached steady-state at the time of measurement [14].
Since the process of connection is mathematically identical to the percolation transition in the slime mold, a mathematical model of the latter should be equally valid for both, he says.
These two versions are mathematically identical for all intents and purposes.
Most BRA methods can be derived as a special case of a generalized formula in which some are mathematically identical.
While FGBILU remains mathematically identical to sequential global BILU, numerical experiments confirm its exceptional performance on an Nvidia GPGPU.
The previous mathematical difficulties were overcome by Richard Feynman, Julian Schwinger, and Tomonaga Shin'ichirō, who shared the 1965 Nobel Prize for Physics, and Freeman Dyson, who showed that their various approaches were mathematically identical.
The proposed approach provides mathematically identical results to traditional grid-based motion planning solvers in at least an order of magnitude less time by leveraging the concurrent architecture found in modern graphics hardware.
By studying the specific properties of this function, it can be simplified to an explicit form, which is mathematically identical to the expression proposed by the dual mobility model.
This implies, in particular, that the classical bending theory of homogeneous plates and symmetric laminates is not a distinct subject, despite its historical development and pedagogical recognition, but is mathematically identical to the plane stress problem of anisotropic elasticity.
The method elaborated and results obtained by the present work are directly transposable to the physically analogous transport phenomena of electric conduction, dielectrics, magnetism, diffusion and flow in porous media and to the mathematically identical phenomenon of anti-plane elasticity.
The resulting matched distributions will not necessarily be mathematically identical.
